A 500-turn circular coil with an area of 0.050 m^2 is mounted on a rotating frame, which turns at a rate of 20.0 rad/s in the presence of a 0.050-T uniform magnetic field that is perpendicular to the axis of rotation. What is the instantaneous emf in the coil at the moment that the normal to its plane is at a 30.0 degree angle to the field?

a) zero

b) 12.5 V

c) 21.6 V

d) 25.0 V

Question

Mathematics

Giada Foley

16 May, 05:18

A 500-turn circular coil with an area of 0.050 m^2 is mounted on a rotating frame, which turns at a rate of 20.0 rad/s in the presence of a 0.050-T uniform magnetic field that is perpendicular to the axis of rotation. What is the instantaneous emf in the coil at the moment that the normal to its plane is at a 30.0 degree angle to the field?

a) zero

b) 12.5 V

c) 21.6 V

d) 25.0 V

+2

Answers (1)

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Checkers · Answer 1

option (b) 12.5 V

Step-by-step explanation:

Given:

Number of turns, N = 500

Area of the coil, A = 0.050 m²

Angular speed, ω = 20 rad/s

Magnetic field, B = 0.050 T

Angle to the field, θ = 30°

Now,

EMF induced, ε = NBAωsinθ

on substituting the values, we get

ε = 500 * 0.050 * 0.050 * 20 * sin30°

or

ε = 25 * 0.5

or

ε = 12.5 V

Hence,

option (b) 12.5 V